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Finding the Third Proportional to 117,230 and 256,924

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Solution

The third proportional to 117,230 and 256,924 is: 563,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,230 : 256,924 = 256,924 : x
  2. Step 2: Convert to fraction form
    117,230/256,924 = 256,924/x
  3. Step 3: Cross multiply
    117,230x = 256,924 × 256,924
  4. Step 4: Simplify right side
    117,230x = 66,009,941,776
  5. Step 5: Solve for x
    x = 66,009,941,776/117,230
  6. Step 6: Final answer
    x = 563,080.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.